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Finding the Fourth Proportional to 714.92, 1,065.22 and 683.46

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Solution

The fourth proportional to 714.92, 1,065.22 and 683.46 is: 1,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.92 : 1,065.22 = 683.46 : x
  2. Step 2: Convert to fraction form
    714.92/1,065.22 = 683.46/x
  3. Step 3: Cross multiply
    714.92x = 1,065.22 × 683.46
  4. Step 4: Simplify right side
    714.92x = 728,035.26
  5. Step 5: Solve for x
    x = 728,035.26/714.92
  6. Step 6: Final answer
    x = 1,018.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.